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Finding the Third Proportional to 159,971 and 350,074

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Solution

The third proportional to 159,971 and 350,074 is: 766,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,971 : 350,074 = 350,074 : x
  2. Step 2: Convert to fraction form
    159,971/350,074 = 350,074/x
  3. Step 3: Cross multiply
    159,971x = 350,074 × 350,074
  4. Step 4: Simplify right side
    159,971x = 122,551,805,476
  5. Step 5: Solve for x
    x = 122,551,805,476/159,971
  6. Step 6: Final answer
    x = 766,087.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.